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3478625696 = 257132432137
BaseRepresentation
bin1100111101010111…
…1001110110100000
322222102122111100202
43033111321312200
524111012010241
61333103004332
7152126554610
oct31725716640
98872574322
103478625696
111525658a77
12810b996a8
134358c4800
1424ddd6a40
151555d8d9b
hexcf579da0

3478625696 has 144 divisors (see below), whose sum is σ = 8676448704. Its totient is φ = 1343526912.

The previous prime is 3478625693. The next prime is 3478625701. The reversal of 3478625696 is 6965268743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3478625693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626740 + ... + 1628876.

It is an arithmetic number, because the mean of its divisors is an integer number (60253116).

Almost surely, 23478625696 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 3478625696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338224352).

3478625696 is an abundant number, since it is smaller than the sum of its proper divisors (5197823008).

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

3478625696 is a wasteful number, since it uses less digits than its factorization.

3478625696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2202 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The square root of 3478625696 is about 58979.8753474437. The cubic root of 3478625696 is about 1515.1974597670.

The spelling of 3478625696 in words is "three billion, four hundred seventy-eight million, six hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 169 172 182 208 224 301 338 344 364 416 559 602 676 688 728 1118 1183 1204 1352 1376 1456 2137 2236 2366 2408 2704 2912 3913 4274 4472 4732 4816 5408 7267 7826 8548 8944 9464 9632 14534 14959 15652 17096 17888 18928 27781 29068 29918 31304 34192 37856 50869 55562 58136 59836 62608 68384 91891 101738 111124 116272 119672 125216 183782 194467 203476 222248 232544 239344 361153 367564 388934 406952 444496 478688 643237 722306 735128 777868 813904 888992 1194583 1286474 1444612 1470256 1555736 1627808 2389166 2528071 2572948 2889224 2940512 3111472 4778332 5056142 5145896 5778448 6222944 8362081 9556664 10112284 10291792 11556896 15529579 16724162 19113328 20224568 20583584 31059158 33448324 38226656 40449136 62118316 66896648 80898272 108707053 124236632 133793296 217414106 248473264 267586592 434828212 496946528 869656424 1739312848 3478625696