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3374320992 = 253741122471
BaseRepresentation
bin1100100100100000…
…0000110101100000
322201011101021012120
43021020000311200
523402311232432
61314455224240
7146422153350
oct31110006540
98634337176
103374320992
111481797339
127a2078080
1341a104853
14240204b60
1514b383c2c
hexc9200d60

3374320992 has 96 divisors (see below), whose sum is σ = 10369949184. Its totient is φ = 940569600.

The previous prime is 3374320987. The next prime is 3374320993. The reversal of 3374320992 is 2990234733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33743209922 = 22772084314103728128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (3374320993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33684 + ... + 88787.

It is an arithmetic number, because the mean of its divisors is an integer number (108020304).

Almost surely, 23374320992 is an apocalyptic number.

3374320992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3374320992 is an abundant number, since it is smaller than the sum of its proper divisors (6995628192).

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

3374320992 is a wasteful number, since it uses less digits than its factorization.

3374320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122532 (or 122524 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 3374320992 is about 58088.9059287572. The cubic root of 3374320992 is about 1499.8993994754.

The spelling of 3374320992 in words is "three billion, three hundred seventy-four million, three hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 122471 244942 367413 489884 734826 857297 979768 1469652 1714594 1959536 2571891 2939304 3429188 3919072 5021311 5143782 5878608 6858376 10042622 10287564 11757216 13716752 15063933 20085244 20575128 27433504 30127866 35149177 40170488 41150256 60255732 70298354 80340976 82300512 105447531 120511464 140596708 160681952 210895062 241022928 281193416 421790124 482045856 562386832 843580248 1124773664 1687160496 3374320992