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661394400 = 25352275581
BaseRepresentation
bin100111011011000…
…001001111100000
31201002112022112220
4213123001033200
52323304110100
6145343551040
722250521362
oct4733011740
91632468486
10661394400
1130a381447
121655bb480
13a7043444
1463ba8d32
153d0e8aa0
hex276c13e0

661394400 has 72 divisors (see below), whose sum is σ = 2152846584. Its totient is φ = 176371200.

The previous prime is 661394341. The next prime is 661394429. The reversal of 661394400 is 4493166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135391 + ... + 140190.

It is an arithmetic number, because the mean of its divisors is an integer number (29900647).

Almost surely, 2661394400 is an apocalyptic number.

661394400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661394400 is an abundant number, since it is smaller than the sum of its proper divisors (1491452184).

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

661394400 is a wasteful number, since it uses less digits than its factorization.

661394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275604 (or 275591 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 661394400 is about 25717.5893115976. The cubic root of 661394400 is about 871.2714926561.

The spelling of 661394400 in words is "six hundred sixty-one million, three hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 275581 551162 826743 1102324 1377905 1653486 2204648 2755810 3306972 4133715 4409296 5511620 6613944 6889525 8267430 8818592 11023240 13227888 13779050 16534860 20668575 22046480 26455776 27558100 33069720 41337150 44092960 55116200 66139440 82674300 110232400 132278880 165348600 220464800 330697200 661394400