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3410774112 = 25371836029
BaseRepresentation
bin1100101101001100…
…0100100001100000
322210200222021111010
43023103010201200
523441124232422
61322240420520
7150344046564
oct31323044140
98720867433
103410774112
1114a0325089
127b2317740
13424828b45
14244db36a4
1514e684b0c
hexcb4c4860

3410774112 has 96 divisors (see below), whose sum is σ = 9190298880. Its totient is φ = 1107223040.

The previous prime is 3410774093. The next prime is 3410774131. The reversal of 3410774112 is 2114770143.

It is an interprime number because it is at equal distance from previous prime (3410774093) and next prime (3410774131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3410774112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562714 + ... + 568742.

It is an arithmetic number, because the mean of its divisors is an integer number (95732280).

Almost surely, 23410774112 is an apocalyptic number.

3410774112 is a gapful number since it is divisible by the number (32) 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 3410774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595149440).

3410774112 is an abundant number, since it is smaller than the sum of its proper divisors (5779524768).

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

3410774112 is a wasteful number, since it uses less digits than its factorization.

3410774112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 3410774112 is about 58401.8331219149. The cubic root of 3410774112 is about 1505.2812522053.

The spelling of 3410774112 in words is "three billion, four hundred ten million, seven hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 83 96 142 166 213 249 284 332 426 498 568 664 852 996 1136 1328 1704 1992 2272 2656 3408 3984 5893 6029 6816 7968 11786 12058 17679 18087 23572 24116 35358 36174 47144 48232 70716 72348 94288 96464 141432 144696 188576 192928 282864 289392 428059 500407 565728 578784 856118 1000814 1284177 1501221 1712236 2001628 2568354 3002442 3424472 4003256 5136708 6004884 6848944 8006512 10273416 12009768 13697888 16013024 20546832 24019536 35528897 41093664 48039072 71057794 106586691 142115588 213173382 284231176 426346764 568462352 852693528 1136924704 1705387056 3410774112