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950326944 = 25373721033
BaseRepresentation
bin111000101001001…
…101011010100000
32110020012121111020
4320221031122200
53421240430234
6234144445440
732356434330
oct7051153240
92406177436
10950326944
11448486776
12226319880
13121b67848
14902db0c0
155866d549
hex38a4d6a0

950326944 has 144 divisors (see below), whose sum is σ = 2932953408. Its totient is φ = 263927808.

The previous prime is 950326939. The next prime is 950326999. The reversal of 950326944 is 449623059.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 950326896 and 950326905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919452 + ... + 920484.

It is an arithmetic number, because the mean of its divisors is an integer number (20367732).

Almost surely, 2950326944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950326944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466476704).

950326944 is an abundant number, since it is smaller than the sum of its proper divisors (1982626464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

950326944 is a wasteful number, since it uses less digits than its factorization.

950326944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 950326944 is about 30827.3732906325. The cubic root of 950326944 is about 983.1603320152.

The spelling of 950326944 in words is "nine hundred fifty million, three hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1033 1036 1184 1369 1554 1776 2066 2072 2738 3099 3108 3552 4107 4132 4144 5476 6198 6216 7231 8214 8264 8288 9583 10952 12396 12432 14462 16428 16528 19166 21693 21904 24792 24864 28749 28924 32856 33056 38221 38332 43386 43808 49584 57498 57848 65712 76442 76664 86772 99168 114663 114996 115696 131424 152884 153328 173544 229326 229992 231392 267547 305768 306656 347088 458652 459984 535094 611536 694176 802641 917304 919968 1070188 1223072 1414177 1605282 1834608 2140376 2828354 3210564 3669216 4242531 4280752 5656708 6421128 8485062 8561504 9899239 11313416 12842256 16970124 19798478 22626832 25684512 29697717 33940248 39596956 45253664 59395434 67880496 79193912 118790868 135760992 158387824 237581736 316775648 475163472 950326944