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74200734 = 23229413467
BaseRepresentation
bin1000110110000…
…11011010011110
312011121210021100
410123003122132
5122443410414
611210213530
71560460446
oct433033236
9164553240
1074200734
1138980123
1220a242a6
13124ac87a
149bd7126
1567aa609
hex46c369e

74200734 has 48 divisors (see below), whose sum is σ = 170417520. Its totient is φ = 23291520.

The previous prime is 74200729. The next prime is 74200739. The reversal of 74200734 is 43700247.

It is an interprime number because it is at equal distance from previous prime (74200729) and next prime (74200739).

It is a super-2 number, since 2×742007342 = 11011497852277512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74200698 and 74200707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74200739) 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, 19669 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 274200734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74200734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85208760).

74200734 is an abundant number, since it is smaller than the sum of its proper divisors (96216786).

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

74200734 is a wasteful number, since it uses less digits than its factorization.

74200734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 74200734 is about 8613.9847921853. The cubic root of 74200734 is about 420.2129192531.

The spelling of 74200734 in words is "seventy-four million, two hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3467 3567 6934 7134 10401 10701 20802 21402 31203 62406 100543 142147 201086 284294 301629 426441 603258 852882 904887 1279323 1809774 2558646 4122263 8244526 12366789 24733578 37100367 74200734