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76342068 = 223311179359
BaseRepresentation
bin1001000110011…
…10001100110100
312022122120122000
410203032030310
5124020421233
611324135300
71614616425
oct443161464
9168576560
1076342068
113a102a20
1221697530
1312a7c42a
14a1d364c
156a7ed13
hex48ce334

76342068 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 22940640.

The previous prime is 76342067. The next prime is 76342069. The reversal of 76342068 is 86024367.

It is an interprime number because it is at equal distance from previous prime (76342067) and next prime (76342069).

It is a super-2 number, since 2×763420682 = 11656222693033248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76342067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212473 + ... + 212831.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 276342068 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 76342068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

76342068 is an abundant number, since it is smaller than the sum of its proper divisors (141385932).

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

76342068 is a wasteful number, since it uses less digits than its factorization.

76342068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76342068 is about 8737.3948062337. The cubic root of 76342068 is about 424.2169072323.

The spelling of 76342068 in words is "seventy-six million, three hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 179 198 297 358 359 396 537 594 716 718 1074 1077 1188 1436 1611 1969 2148 2154 3222 3231 3938 3949 4308 4833 5907 6444 6462 7876 7898 9666 9693 11814 11847 12924 15796 17721 19332 19386 23628 23694 35442 35541 38772 47388 53163 64261 70884 71082 106326 106623 128522 142164 192783 212652 213246 257044 385566 426492 578349 706871 771132 1156698 1413742 1735047 2120613 2313396 2827484 3470094 4241226 6361839 6940188 8482452 12723678 19085517 25447356 38171034 76342068