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842023296 = 2733534597
BaseRepresentation
bin110010001100000…
…100000110000000
32011200102012211000
4302030010012000
53211024221141
6215315252000
726603036262
oct6214040600
92150365730
10842023296
113a2333624
121b5baa000
131055a764a
147db87b32
154ddc85b6
hex32304180

842023296 has 128 divisors (see below), whose sum is σ = 2532578400. Its totient is φ = 275318784.

The previous prime is 842023267. The next prime is 842023337. The reversal of 842023296 is 692320248.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 842023296.

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, 180870 + ... + 185466.

Almost surely, 2842023296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266289200).

842023296 is an abundant number, since it is smaller than the sum of its proper divisors (1690555104).

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

842023296 is a wasteful number, since it uses less digits than its factorization.

842023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 842023296 is about 29017.6376709063. The cubic root of 842023296 is about 944.2957514387.

The spelling of 842023296 in words is "eight hundred forty-two million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 954 1152 1272 1431 1696 1728 1908 2544 2862 3392 3456 3816 4597 5088 5724 6784 7632 9194 10176 11448 13791 15264 18388 20352 22896 27582 30528 36776 41373 45792 55164 61056 73552 82746 91584 110328 124119 147104 165492 183168 220656 243641 248238 294208 330984 441312 487282 496476 588416 661968 730923 882624 974564 992952 1323936 1461846 1765248 1949128 1985904 2192769 2647872 2923692 3898256 3971808 4385538 5295744 5847384 6578307 7796512 7943616 8771076 11694768 13156614 15593024 15887232 17542152 23389536 26313228 31186048 35084304 46779072 52626456 70168608 93558144 105252912 140337216 210505824 280674432 421011648 842023296