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427434696 = 2332133114731
BaseRepresentation
bin11001011110100…
…010001011001000
31002210021221011200
4121132202023020
51333410402241
6110225224200
713410064203
oct3136421310
91083257150
10427434696
111aa304017
12bb192060
136a728a50
1440aa693a
15277d24b6
hex197a22c8

427434696 has 96 divisors (see below), whose sum is σ = 1286987520. Its totient is φ = 127267200.

The previous prime is 427434641. The next prime is 427434703. The reversal of 427434696 is 696434724.

It is a happy number.

It is a super-2 number, since 2×4274346962 = 365400838689224832, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 21651 + ... + 36381.

It is an arithmetic number, because the mean of its divisors is an integer number (13406120).

Almost surely, 2427434696 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 427434696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643493760).

427434696 is an abundant number, since it is smaller than the sum of its proper divisors (859552824).

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

427434696 is a wasteful number, since it uses less digits than its factorization.

427434696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14787 (or 14780 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 427434696 is about 20674.4938511200. The cubic root of 427434696 is about 753.2802668827.

The spelling of 427434696 in words is "four hundred twenty-seven million, four hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 14731 29016 29462 44193 58924 88386 117848 132579 176772 191503 265158 353544 383006 456661 530316 574509 766012 913322 1060632 1149018 1369983 1532024 1723527 1826644 2298036 2739966 3447054 3653288 4109949 4596072 5479932 5936593 6894108 8219898 10959864 11873186 13788216 16439796 17809779 23746372 32879592 35619558 47492744 53429337 71239116 106858674 142478232 213717348 427434696