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974061816 = 233713653683
BaseRepresentation
bin111010000011110…
…000000011111000
32111212212110121120
4322003300003320
53443324434231
6240353305240
733065250240
oct7203600370
92455773546
10974061816
1145a918072
12232265220
13126a57c50
1493518b20
155a7aad96
hex3a0f00f8

974061816 has 128 divisors (see below), whose sum is σ = 3006097920. Its totient is φ = 256126464.

The previous prime is 974061811. The next prime is 974061827. The reversal of 974061816 is 618160479.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974061811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1425811 + ... + 1426493.

It is an arithmetic number, because the mean of its divisors is an integer number (23485140).

Almost surely, 2974061816 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 974061816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503048960).

974061816 is an abundant number, since it is smaller than the sum of its proper divisors (2032036104).

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

974061816 is a wasteful number, since it uses less digits than its factorization.

974061816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 974061816 is about 31209.9634091423. The cubic root of 974061816 is about 991.2780880829.

The spelling of 974061816 in words is "nine hundred seventy-four million, sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 653 683 728 1092 1306 1366 1959 2049 2184 2612 2732 3918 4098 4571 4781 5224 5464 7836 8196 8489 8879 9142 9562 13713 14343 15672 16392 16978 17758 18284 19124 25467 26637 27426 28686 33956 35516 36568 38248 50934 53274 54852 57372 59423 62153 67912 71032 101868 106548 109704 114744 118846 124306 178269 186459 203736 213096 237692 248612 356538 372918 445999 475384 497224 713076 745836 891998 1337997 1426152 1491672 1783996 2675994 3121993 3567992 5351988 5797987 6243986 9365979 10703976 11595974 12487972 17393961 18731958 23191948 24975944 34787922 37463916 40585909 46383896 69575844 74927832 81171818 121757727 139151688 162343636 243515454 324687272 487030908 974061816