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70338816 = 283230529
BaseRepresentation
bin1000011000101…
…00100100000000
311220100120201100
410030110210000
5121001320231
610551334400
71512604302
oct414244400
9156316640
1070338816
1136782659
121b681400
1311759b02
1494ad972
1562961e6
hex4314900

70338816 has 54 divisors (see below), whose sum is σ = 202810790. Its totient is φ = 23445504.

The previous prime is 70338799. The next prime is 70338839. The reversal of 70338816 is 61883307.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 33177600 = 6096^2 + 5760^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12961 + ... + 17568.

Almost surely, 270338816 is an apocalyptic number.

It is an amenable number.

70338816 is an abundant number, since it is smaller than the sum of its proper divisors (132471974).

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

70338816 is a wasteful number, since it uses less digits than its factorization.

70338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30551 (or 30534 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 70338816 is about 8386.8239518903. The cubic root of 70338816 is about 412.7923921439.

The spelling of 70338816 in words is "seventy million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 30529 61058 91587 122116 183174 244232 274761 366348 488464 549522 732696 976928 1099044 1465392 1953856 2198088 2930784 3907712 4396176 5861568 7815424 8792352 11723136 17584704 23446272 35169408 70338816