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1644516340 = 2252967101419
BaseRepresentation
bin110001000000101…
…0101001111110100
311020121110002022121
41202001111033310
511331444010330
6431103405324
755516105165
oct14201251764
94217402277
101644516340
11774317515
1239a8b3844
132029211bc
141185a176c
159959417a
hex620553f4

1644516340 has 96 divisors (see below), whose sum is σ = 3670531200. Its totient is φ = 617971200.

The previous prime is 1644516337. The next prime is 1644516409. The reversal of 1644516340 is 436154461.

It is a junction number, because it is equal to n+sod(n) for n = 1644516296 and 1644516305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924651 + ... + 3925069.

It is an arithmetic number, because the mean of its divisors is an integer number (38234700).

Almost surely, 21644516340 is an apocalyptic number.

1644516340 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 1644516340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835265600).

1644516340 is an abundant number, since it is smaller than the sum of its proper divisors (2026014860).

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

1644516340 is a wasteful number, since it uses less digits than its factorization.

1644516340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1644516340 is about 40552.6366590386. The cubic root of 1644516340 is about 1180.3552363383.

The spelling of 1644516340 in words is "one billion, six hundred forty-four million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 67 101 116 134 145 202 268 290 335 404 419 505 580 670 838 1010 1340 1676 1943 2020 2095 2929 3886 4190 5858 6767 7772 8380 9715 11716 12151 13534 14645 19430 24302 27068 28073 29290 33835 38860 42319 48604 56146 58580 60755 67670 84638 112292 121510 135340 140365 169276 196243 211595 243020 280730 392486 423190 561460 784972 814117 846380 981215 1227251 1628234 1962430 2454502 2835373 3256468 3924860 4070585 4909004 5670746 6136255 8141170 11341492 12272510 14176865 16282340 24545020 28353730 56707460 82225817 164451634 328903268 411129085 822258170 1644516340