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145330944 = 2831117203
BaseRepresentation
bin10001010100110…
…01001100000000
3101010110120120120
420222121030000
5244201042234
622230540240
73413202243
oct1052311400
9333416516
10145330944
1175043320
1240807680
1324155955
141543125a
15cb5b049
hex8a99300

145330944 has 72 divisors (see below), whose sum is σ = 421979712. Its totient is φ = 44037120.

The previous prime is 145330921. The next prime is 145330967. The reversal of 145330944 is 449033541.

It is an interprime number because it is at equal distance from previous prime (145330921) and next prime (145330967).

It is a super-2 number, since 2×1453309442 = 42242166567862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 17049.

Almost surely, 2145330944 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 145330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210989856).

145330944 is an abundant number, since it is smaller than the sum of its proper divisors (276648768).

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

145330944 is a wasteful number, since it uses less digits than its factorization.

145330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17233 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 145330944 is about 12055.3284484497. The cubic root of 145330944 is about 525.7581716897.

The spelling of 145330944 in words is "one hundred forty-five million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 17203 34406 51609 68812 103218 137624 189233 206436 275248 378466 412872 550496 567699 756932 825744 1100992 1135398 1513864 1651488 2201984 2270796 3027728 3302976 4403968 4541592 6055456 6605952 9083184 12110912 13211904 18166368 24221824 36332736 48443648 72665472 145330944