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374568480400 = 24527124312
BaseRepresentation
bin1010111001101100000…
…01010110111010010000
31022210211022200022120111
411130312001112322100
522114104012333100
6444024022251104
736030104360002
oct5346601267220
91283738608514
10374568480400
11134943162304
1260716286a94
13294248a89aa
14141b47ac372
159b23dd86ba
hex5736056e90

374568480400 has 135 divisors (see below), whose sum is σ = 914876621449. Its totient is φ = 147374416000.

The previous prime is 374568480389. The next prime is 374568480401. The reversal of 374568480400 is 4084865473.

The square root of 374568480400 is 612020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134844652944 + 239723827456 = 367212^2 + 489616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (374568480401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 869068185 + ... + 869068615.

Almost surely, 2374568480400 is an apocalyptic number.

374568480400 is the 612020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374568480400

374568480400 is an abundant number, since it is smaller than the sum of its proper divisors (540308141049).

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

374568480400 is an frugal number, since it uses more digits than its factorization.

374568480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

Multiplying 374568480400 by its sum of digits (49), we get a square (18353855539600 = 42841402).

The spelling of 374568480400 in words is "three hundred seventy-four billion, five hundred sixty-eight million, four hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 431 568 710 862 1136 1420 1724 1775 2155 2840 3448 3550 4310 5041 5680 6896 7100 8620 10082 10775 14200 17240 20164 21550 25205 28400 30601 34480 40328 43100 50410 61202 80656 86200 100820 122404 126025 153005 172400 185761 201640 244808 252050 306010 371522 403280 489616 504100 612020 743044 765025 928805 1008200 1224040 1486088 1530050 1857610 2016400 2172671 2448080 2972176 3060100 3715220 4345342 4644025 6120200 7430440 8690684 9288050 10863355 12240400 13189031 14860880 17381368 18576100 21726710 26378062 34762736 37152200 43453420 52756124 54316775 65945155 74304400 86906840 105512248 108633550 131890310 173813680 211024496 217267100 263780620 329725775 434534200 527561240 659451550 869068400 936421201 1055122480 1318903100 1872842402 2637806200 3745684804 4682106005 5275612400 7491369608 9364212010 14982739216 18728424020 23410530025 37456848040 46821060050 74913696080 93642120100 187284240200 374568480400