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1691339440 = 24577938231
BaseRepresentation
bin110010011001111…
…1100101010110000
311100212112221112111
41210303330222300
511430440330230
6435455135104
756625101530
oct14463745260
94325487474
101691339440
1179879839a
123b2514494
1320c53658b
141208ad4c0
159d74292a
hex64cfcab0

1691339440 has 80 divisors (see below), whose sum is σ = 4551137280. Its totient is φ = 572532480.

The previous prime is 1691339411. The next prime is 1691339453. The reversal of 1691339440 is 449331961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1691339393 and 1691339402.

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, 25125 + ... + 63355.

It is an arithmetic number, because the mean of its divisors is an integer number (56889216).

Almost surely, 21691339440 is an apocalyptic number.

1691339440 is a gapful number since it is divisible by the number (10) 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 1691339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275568640).

1691339440 is an abundant number, since it is smaller than the sum of its proper divisors (2859797840).

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

1691339440 is a wasteful number, since it uses less digits than its factorization.

1691339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38330 (or 38324 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 1691339440 is about 41125.8974370165. The cubic root of 1691339440 is about 1191.4530281816.

The spelling of 1691339440 in words is "one billion, six hundred ninety-one million, three hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5530 6320 8848 11060 22120 38231 44240 76462 152924 191155 267617 305848 382310 535234 611696 764620 1070468 1338085 1529240 2140936 2676170 3020249 3058480 4281872 5352340 6040498 10704680 12080996 15101245 21141743 21409360 24161992 30202490 42283486 48323984 60404980 84566972 105708715 120809960 169133944 211417430 241619920 338267888 422834860 845669720 1691339440