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73034676 = 223311134729
BaseRepresentation
bin1000101101001…
…10101110110100
312002102112202000
410112212232310
5122144102201
611125215300
71544533041
oct426465664
9162375660
1073034676
1138254040
1220561530
1312191bb0
1499b21c8
156629d86
hex45a6bb4

73034676 has 96 divisors (see below), whose sum is σ = 222499200. Its totient is φ = 20424960.

The previous prime is 73034657. The next prime is 73034677. The reversal of 73034676 is 67643037.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73034676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73034677) 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, 13080 + ... + 17808.

It is an arithmetic number, because the mean of its divisors is an integer number (2317700).

Almost surely, 273034676 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 73034676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111249600).

73034676 is an abundant number, since it is smaller than the sum of its proper divisors (149464524).

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

73034676 is a wasteful number, since it uses less digits than its factorization.

73034676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 73034676 is about 8546.0327638033. The cubic root of 73034676 is about 418.0000839419. Note that the first 4 decimals are identical.

The spelling of 73034676 in words is "seventy-three million, thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 4729 5148 7722 9458 14187 15444 18916 28374 42561 52019 56748 61477 85122 104038 122954 127683 156057 170244 184431 208076 245908 255366 312114 368862 468171 510732 553293 624228 676247 737724 936342 1106586 1352494 1404513 1659879 1872684 2028741 2213172 2704988 2809026 3319758 4057482 5618052 6086223 6639516 8114964 12172446 18258669 24344892 36517338 73034676