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34363342704 = 2433767317911
BaseRepresentation
bin100000000000001101…
…101111111101110000
310021200211200200022110
4200000031233331300
51030334003431304
623441501405320
72324361410415
oct400015577560
9107624620273
1034363342704
1113634235a89
1267b0269840
133318361ba2
14193db4010c
15d61c21289
hex80036ff70

34363342704 has 160 divisors (see below), whose sum is σ = 92925766656. Its totient is φ = 10931880960.

The previous prime is 34363342693. The next prime is 34363342709. The reversal of 34363342704 is 40724336343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34363342709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37720009 + ... + 37720919.

Almost surely, 234363342704 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 34363342704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46462883328).

34363342704 is an abundant number, since it is smaller than the sum of its proper divisors (58562423952).

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

34363342704 is a wasteful number, since it uses less digits than its factorization.

34363342704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 39.

The spelling of 34363342704 in words is "thirty-four billion, three hundred sixty-three million, three hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 67 74 111 134 148 201 222 268 296 317 402 444 536 592 634 804 888 911 951 1072 1268 1608 1776 1822 1902 2479 2536 2733 3216 3644 3804 4958 5072 5466 7288 7437 7608 9916 10932 11729 14576 14874 15216 19832 21239 21864 23458 29748 33707 35187 39664 42478 43728 46916 59496 61037 63717 67414 70374 84956 93832 101121 118992 122074 127434 134828 140748 169912 183111 187664 202242 244148 254868 269656 281496 288787 339824 366222 404484 488296 509736 539312 562992 577574 732444 785843 808968 866361 976592 1019472 1155148 1464888 1571686 1617936 1732722 2258369 2310296 2357529 2929776 3143372 3465444 4516738 4620592 4715058 6286744 6775107 6930888 9033476 9430116 10685119 12573488 13550214 13861776 18066952 18860232 19348729 21370238 27100428 32055357 36133904 37720464 38697458 42740476 54200856 58046187 64110714 77394916 85480952 108401712 116092374 128221428 154789832 170961904 232184748 256442856 309579664 464369496 512885712 715902973 928738992 1431805946 2147708919 2863611892 4295417838 5727223784 8590835676 11454447568 17181671352 34363342704