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3970944 = 2734383
BaseRepresentation
bin1111001001011110000000
321110202010000
433021132000
52004032234
6221040000
745516045
oct17113600
97422100
103970944
11227247a
1213b6000
13a90593
147551cc
15536899
hex3c9780

3970944 has 80 divisors (see below), whose sum is σ = 11848320. Its totient is φ = 1320192.

The previous prime is 3970903. The next prime is 3970949. The reversal of 3970944 is 4490793.

It is a super-2 number, since 2×39709442 = 31536792502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3970899 and 3970908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970949) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10177 + ... + 10559.

It is an arithmetic number, because the mean of its divisors is an integer number (148104).

Almost surely, 23970944 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 3970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924160).

3970944 is an abundant number, since it is smaller than the sum of its proper divisors (7877376).

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

3970944 is an equidigital number, since it uses as much as digits as its factorization.

3970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3970944 is about 1992.7227604461. The cubic root of 3970944 is about 158.3548080445.

The spelling of 3970944 in words is "three million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 383 384 432 576 648 766 864 1149 1152 1296 1532 1728 2298 2592 3064 3447 3456 4596 5184 6128 6894 9192 10341 10368 12256 13788 18384 20682 24512 27576 31023 36768 41364 49024 55152 62046 73536 82728 110304 124092 147072 165456 220608 248184 330912 441216 496368 661824 992736 1323648 1985472 3970944