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73780434 = 232713311453
BaseRepresentation
bin1000110010111…
…00110011010010
312010211102201200
410121130303102
5122341433214
611153212030
71554060210
oct431346322
9163742650
1073780434
1138713372
1220861016
1312393480
149b27cb0
156725d09
hex465ccd2

73780434 has 96 divisors (see below), whose sum is σ = 203234304. Its totient is φ = 18817920.

The previous prime is 73780417. The next prime is 73780457. The reversal of 73780434 is 43408737.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50052 + ... + 51504.

It is an arithmetic number, because the mean of its divisors is an integer number (2117024).

Almost surely, 273780434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73780434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101617152).

73780434 is an abundant number, since it is smaller than the sum of its proper divisors (129453870).

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

73780434 is a wasteful number, since it uses less digits than its factorization.

73780434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 73780434 is about 8589.5537718790. The cubic root of 73780434 is about 419.4180034201.

The spelling of 73780434 in words is "seventy-three million, seven hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1453 1638 1953 2418 2821 2906 3627 3906 4359 5642 7254 8463 8718 10171 13077 16926 18889 20342 25389 26154 30513 37778 45043 50778 56667 61026 90086 91539 113334 132223 135129 170001 183078 264446 270258 315301 340002 396669 405387 585559 630602 793338 810774 945903 1171118 1190007 1756677 1891806 2380014 2837709 3513354 4098913 5270031 5675418 8197826 10540062 12296739 24593478 36890217 73780434