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3423231504 = 2433711102911
BaseRepresentation
bin1100110000001010…
…0101111000010000
322211120102011211000
43030002211320100
524002321402004
61323403422000
7150554662530
oct31402457020
98746364730
103423231504
1114a7363550
127b6524900
1342729b094
142468d74c0
151507e5c39
hexcc0a5e10

3423231504 has 160 divisors (see below), whose sum is σ = 12250644480. Its totient is φ = 889142400.

The previous prime is 3423231479. The next prime is 3423231521. The reversal of 3423231504 is 4051323243.

3423231504 is a `hidden beast` number, since 3 + 423 + 231 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18192 + ... + 84719.

It is an arithmetic number, because the mean of its divisors is an integer number (76566528).

Almost surely, 23423231504 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 3423231504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125322240).

3423231504 is an abundant number, since it is smaller than the sum of its proper divisors (8827412976).

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

3423231504 is a wasteful number, since it uses less digits than its factorization.

3423231504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102946 (or 102934 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3423231504 is about 58508.3883216757. The cubic root of 3423231504 is about 1507.1116377870. Note that the first 3 decimals are identical.

Adding to 3423231504 its reverse (4051323243), we get a palindrome (7474554747).

The spelling of 3423231504 in words is "three billion, four hundred twenty-three million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 102911 205822 308733 411644 617466 720377 823288 926199 1132021 1234932 1440754 1646576 1852398 2161131 2264042 2469864 2778597 2881508 3396063 3704796 4322262 4528084 4939728 5557194 5763016 6483393 6792126 7409592 7924147 8644524 9056168 10188189 11114388 11526032 12966786 13584252 14819184 15848294 17289048 18112336 19450179 20376378 22228776 23772441 25933572 27168504 30564567 31696588 34578096 38900358 40752756 44457552 47544882 51867144 54337008 61129134 63393176 71317323 77800716 81505512 95089764 103734288 122258268 126786352 142634646 155601432 163011024 190179528 213951969 244516536 285269292 311202864 380359056 427903938 489033072 570538584 855807876 1141077168 1711615752 3423231504