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945295104 = 28313731297
BaseRepresentation
bin111000010110000…
…000111100000000
32102212201222002210
4320112000330000
53413443420404
6233444542120
732265606255
oct7026007400
92385658083
10945295104
1144565a226
122246b1940
13120ac5420
148d78b42c
1557ec7689
hex38580f00

945295104 has 144 divisors (see below), whose sum is σ = 2748624032. Its totient is φ = 286654464.

The previous prime is 945295093. The next prime is 945295111. The reversal of 945295104 is 401592549.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 728184 + ... + 729480.

Almost surely, 2945295104 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 945295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374312016).

945295104 is an abundant number, since it is smaller than the sum of its proper divisors (1803328928).

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

945295104 is a wasteful number, since it uses less digits than its factorization.

945295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 945295104 is about 30745.6517901312. The cubic root of 945295104 is about 981.4220310765.

The spelling of 945295104 in words is "nine hundred forty-five million, two hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 256 292 312 384 416 438 584 624 768 832 876 949 1168 1248 1297 1664 1752 1898 2336 2496 2594 2847 3328 3504 3796 3891 4672 4992 5188 5694 7008 7592 7782 9344 9984 10376 11388 14016 15184 15564 16861 18688 20752 22776 28032 30368 31128 33722 41504 45552 50583 56064 60736 62256 67444 83008 91104 94681 101166 121472 124512 134888 166016 182208 189362 202332 242944 249024 269776 284043 332032 364416 378724 404664 498048 539552 568086 728832 757448 809328 996096 1079104 1136172 1230853 1514896 1618656 2158208 2272344 2461706 3029792 3237312 3692559 4316416 4544688 4923412 6059584 6474624 7385118 9089376 9846824 12119168 12949248 14770236 18178752 19693648 24238336 29540472 36357504 39387296 59080944 72715008 78774592 118161888 157549184 236323776 315098368 472647552 945295104