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76374030 = 23517223383
BaseRepresentation
bin1001000110101…
…10000000001110
312022201012110210
410203112000032
5124022432110
611324543250
71615111545
oct443260016
9168635423
1076374030
113a124a37
12216b1b26
1312a90b45
14a20115c
156a89520
hex48d600e

76374030 has 96 divisors (see below), whose sum is σ = 203710464. Its totient is φ = 18287104.

The previous prime is 76373993. The next prime is 76374041. The reversal of 76374030 is 3047367.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199219 + ... + 199601.

It is an arithmetic number, because the mean of its divisors is an integer number (2121984).

Almost surely, 276374030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76374030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101855232).

76374030 is an abundant number, since it is smaller than the sum of its proper divisors (127336434).

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

76374030 is a wasteful number, since it uses less digits than its factorization.

76374030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 76374030 is about 8739.2236497300. The cubic root of 76374030 is about 424.2761010223.

The spelling of 76374030 in words is "seventy-six million, three hundred seventy-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 289 345 383 391 510 578 690 766 782 867 1149 1173 1445 1734 1915 1955 2298 2346 2890 3830 3910 4335 5745 5865 6511 6647 8670 8809 11490 11730 13022 13294 17618 19533 19941 26427 32555 33235 39066 39882 44045 52854 65110 66470 88090 97665 99705 110687 132135 149753 195330 199410 221374 264270 299506 332061 449259 553435 664122 748765 898518 1106870 1497530 1660305 2246295 2545801 3320610 4492590 5091602 7637403 12729005 15274806 25458010 38187015 76374030