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10342104432 = 24311313717077
BaseRepresentation
bin10011010000110111…
…11111110101110000
3222200202111100011220
421220123333311300
5132140034320212
64430123105040
7514200302652
oct115033776560
928622440156
1010342104432
114427937150
122007672180
13c8a83a92a
147017766d2
15407e3738c
hex2686ffd70

10342104432 has 160 divisors (see below), whose sum is σ = 30901069824. Its totient is φ = 2950732800.

The previous prime is 10342104391. The next prime is 10342104481. The reversal of 10342104432 is 23440124301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597078 + ... + 614154.

Almost surely, 210342104432 is an apocalyptic number.

10342104432 is a gapful number since it is divisible by the number (12) 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 10342104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450534912).

10342104432 is an abundant number, since it is smaller than the sum of its proper divisors (20558965392).

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

10342104432 is a wasteful number, since it uses less digits than its factorization.

10342104432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167 (or 17161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10342104432 its reverse (23440124301), we get a palindrome (33782228733).

The spelling of 10342104432 in words is "ten billion, three hundred forty-two million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 37 44 48 62 66 74 88 93 111 124 132 148 176 186 222 248 264 296 341 372 407 444 496 528 592 682 744 814 888 1023 1147 1221 1364 1488 1628 1776 2046 2294 2442 2728 3256 3441 4092 4588 4884 5456 6512 6882 8184 9176 9768 12617 13764 16368 17077 18352 19536 25234 27528 34154 37851 50468 51231 55056 68308 75702 100936 102462 136616 151404 187847 201872 204924 273232 302808 375694 409848 529387 563541 605616 631849 751388 819696 1058774 1127082 1263698 1502776 1588161 1895547 2117548 2254164 2527396 3005552 3176322 3791094 4235096 4508328 5054792 5823257 6352644 6950339 7582188 8470192 9016656 10109584 11646514 12705288 13900678 15164376 17469771 19587319 20851017 23293028 25410576 27801356 30328752 34939542 39174638 41702034 46586056 55602712 58761957 69879084 78349276 83404068 93172112 111205424 117523914 139758168 156698552 166808136 215460509 235047828 279516336 313397104 333616272 430921018 470095656 646381527 861842036 940191312 1292763054 1723684072 2585526108 3447368144 5171052216 10342104432