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145364934 = 2311131937241
BaseRepresentation
bin10001010101000…
…01011111000110
3101010112022012110
420222201133012
5244203134214
622231401450
73413403321
oct1052413706
9333468173
10145364934
1175066910
1240823286
1324168270
141543d7b8
15cb66159
hex8aa17c6

145364934 has 128 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 37324800.

The previous prime is 145364929. The next prime is 145364951. The reversal of 145364934 is 439463541.

145364934 = 27572 + 27582 + ... + 27752.

It is a super-2 number, since 2×1453649342 = 42261928073648712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 145364892 and 145364901.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 603054 + ... + 603294.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2145364934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145364934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391360).

145364934 is an abundant number, since it is smaller than the sum of its proper divisors (225417786).

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

145364934 is a wasteful number, since it uses less digits than its factorization.

145364934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its digits is 155520, while the sum is 39.

The square root of 145364934 is about 12056.7381160909. The cubic root of 145364934 is about 525.7991566003.

The spelling of 145364934 in words is "one hundred forty-five million, three hundred sixty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 13 19 22 26 33 37 38 39 57 66 74 78 111 114 143 209 222 241 247 286 407 418 429 481 482 494 627 703 723 741 814 858 962 1221 1254 1406 1443 1446 1482 2109 2442 2651 2717 2886 3133 4218 4579 5291 5302 5434 6266 7733 7953 8151 8917 9139 9158 9399 10582 13737 15466 15873 15906 16302 17834 18278 18798 23199 26751 27417 27474 31746 34463 46398 50369 53502 54834 59527 68926 98087 100529 100738 103389 115921 119054 151107 169423 178581 196174 201058 206778 231842 294261 301587 302214 338846 347763 357162 508269 588522 603174 654797 695526 1016538 1275131 1309594 1863653 1964391 2202499 2550262 3727306 3825393 3928782 4404998 5590959 6607497 7650786 11181918 13214994 24227489 48454978 72682467 145364934