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423034000400 = 245211367261973
BaseRepresentation
bin1100010011111101100…
…10101001010000010000
31111102220222002211100202
412021332302221100100
523412333201003100
6522201130434332
742364114450064
oct6117662512020
91442828084322
10423034000400
11153453734870
1269ba12929a8
1330b7977328b
14166913c1aa4
15b00dbc27d5
hex627eca9410

423034000400 has 120 divisors (see below), whose sum is σ = 1111758973824. Its totient is φ = 153410803200.

The previous prime is 423034000343. The next prime is 423034000447. The reversal of 423034000400 is 4000430324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483814 + ... + 1745786.

Almost surely, 2423034000400 is an apocalyptic number.

423034000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423034000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555879486912).

423034000400 is an abundant number, since it is smaller than the sum of its proper divisors (688724973424).

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

423034000400 is a wasteful number, since it uses less digits than its factorization.

423034000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262369 (or 262358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 423034000400 its reverse (4000430324), we get a palindrome (427034430724).

The spelling of 423034000400 in words is "four hundred twenty-three billion, thirty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 367 400 440 550 734 880 1100 1468 1835 2200 2936 3670 4037 4400 5872 7340 8074 9175 14680 16148 18350 20185 29360 32296 36700 40370 64592 73400 80740 100925 146800 161480 201850 261973 322960 403700 523946 807400 1047892 1309865 1614800 2095784 2619730 2881703 4191568 5239460 5763406 6549325 10478920 11526812 13098650 14408515 20957840 23053624 26197300 28817030 46107248 52394600 57634060 72042575 96144091 104789200 115268120 144085150 192288182 230536240 288170300 384576364 480720455 576340600 769152728 961440910 1057585001 1152681200 1538305456 1922881820 2115170002 2403602275 3845763640 4230340004 4807204550 5287925005 7691527280 8460680008 9614409100 10575850010 16921360016 19228818200 21151700020 26439625025 38457636400 42303400040 52879250050 84606800080 105758500100 211517000200 423034000400