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3410004324 = 2232973269499
BaseRepresentation
bin1100101101000000…
…1000100101100100
322210122112011112110
43023100020211210
523440430114244
61322212121020
7150334362366
oct31320104544
98718464473
103410004324
11149a9497a1
127b2006170
1342461964c
14244c52d36
1514e5819b9
hexcb408964

3410004324 has 96 divisors (see below), whose sum is σ = 8391600000. Its totient is φ = 1076253696.

The previous prime is 3410004307. The next prime is 3410004331. The reversal of 3410004324 is 4234000143.

It is a self number, because there is not a number n which added to its sum of digits gives 3410004324.

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, 6833427 + ... + 6833925.

It is an arithmetic number, because the mean of its divisors is an integer number (87412500).

Almost surely, 23410004324 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 3410004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195800000).

3410004324 is an abundant number, since it is smaller than the sum of its proper divisors (4981595676).

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

3410004324 is a wasteful number, since it uses less digits than its factorization.

3410004324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3410004324 is about 58395.2423062016. The cubic root of 3410004324 is about 1505.1679998476.

Adding to 3410004324 its reverse (4234000143), we get a palindrome (7644004467).

The spelling of 3410004324 in words is "three billion, four hundred ten million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 146 174 219 269 292 348 438 499 538 807 876 998 1076 1497 1614 1996 2117 2994 3228 4234 5988 6351 7801 8468 12702 14471 15602 19637 23403 25404 28942 31204 36427 39274 43413 46806 57884 58911 72854 78548 86826 93612 109281 117822 134231 145708 173652 218562 235644 268462 402693 437124 536924 569473 805386 1056383 1138946 1610772 1708419 2112766 2277892 3169149 3416838 3892699 4225532 6338298 6833676 7785398 9798863 11678097 12676596 15570796 19597726 23356194 29396589 39195452 46712388 58793178 117586356 284167027 568334054 852501081 1136668108 1705002162 3410004324