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672376320 = 29325711379
BaseRepresentation
bin101000000100111…
…010011000000000
31201212012020220200
4220010322120000
52334112020240
6150415205200
722443050550
oct5004723000
91655166820
10672376320
113155a2310
12169216800
13a93b9c15
1465427160
153e067930
hex2813a600

672376320 has 480 divisors, whose sum is σ = 2910885120. Its totient is φ = 139345920.

The previous prime is 672376307. The next prime is 672376361. The reversal of 672376320 is 23673276.

672376320 = T6181 + T6182 + ... + T6215.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1773891 + ... + 1774269.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2672376320 is an apocalyptic number.

672376320 is a gapful number since it is divisible by the number (60) 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 672376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

672376320 is an abundant number, since it is smaller than the sum of its proper divisors (2238508800).

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

672376320 is a wasteful number, since it uses less digits than its factorization.

672376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 672376320 is about 25930.2202073179. The cubic root of 672376320 is about 876.0672995146.

The spelling of 672376320 in words is "six hundred seventy-two million, three hundred seventy-six thousand, three hundred twenty".