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70674144 = 25337101197
BaseRepresentation
bin1000011011001…
…10011011100000
311220222121200220
410031212123200
5121043033034
611002443040
71515502032
oct415463340
9156877626
1070674144
1136991592
121b803480
1311846628
149559c52
156310749
hex43666e0

70674144 has 96 divisors (see below), whose sum is σ = 193396896. Its totient is φ = 22579200.

The previous prime is 70674139. The next prime is 70674157. The reversal of 70674144 is 44147607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358654 + ... + 358850.

It is an arithmetic number, because the mean of its divisors is an integer number (2014551).

Almost surely, 270674144 is an apocalyptic number.

70674144 is a gapful number since it is divisible by the number (74) 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 70674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96698448).

70674144 is an abundant number, since it is smaller than the sum of its proper divisors (122722752).

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

70674144 is a wasteful number, since it uses less digits than its factorization.

70674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 70674144 is about 8406.7915401775. The cubic root of 70674144 is about 413.4473243238.

It can be divided in two parts, 7067 and 4144, that added together give a palindrome (11211).

The spelling of 70674144 in words is "seventy million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 101 111 148 197 202 222 296 303 394 404 444 591 592 606 788 808 888 1182 1184 1212 1576 1616 1776 2364 2424 3152 3232 3552 3737 4728 4848 6304 7289 7474 9456 9696 11211 14578 14948 18912 19897 21867 22422 29156 29896 39794 43734 44844 58312 59691 59792 79588 87468 89688 116624 119382 119584 159176 174936 179376 233248 238764 318352 349872 358752 477528 636704 699744 736189 955056 1472378 1910112 2208567 2944756 4417134 5889512 8834268 11779024 17668536 23558048 35337072 70674144