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3414787040 = 25573048917
BaseRepresentation
bin1100101110001001…
…1000001111100000
322210222112011012002
43023202120033200
523443141141130
61322502423132
7150423132230
oct31342301740
98728464162
103414787040
1114a2616055
127b3731aa8
13425602562
14245739cc0
1514ebc8b45
hexcb8983e0

3414787040 has 48 divisors (see below), whose sum is σ = 9219928032. Its totient is φ = 1170783744.

The previous prime is 3414787039. The next prime is 3414787111. The reversal of 3414787040 is 407874143.

It is a junction number, because it is equal to n+sod(n) for n = 3414786985 and 3414787003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1523339 + ... + 1525578.

It is an arithmetic number, because the mean of its divisors is an integer number (192081834).

Almost surely, 23414787040 is an apocalyptic number.

It is an amenable number.

3414787040 is an abundant number, since it is smaller than the sum of its proper divisors (5805140992).

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

3414787040 is a wasteful number, since it uses less digits than its factorization.

3414787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048939 (or 3048931 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 3414787040 is about 58436.1792043251. The cubic root of 3414787040 is about 1505.8713643643.

The spelling of 3414787040 in words is "three billion, four hundred fourteen million, seven hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3048917 6097834 12195668 15244585 21342419 24391336 30489170 42684838 48782672 60978340 85369676 97565344 106712095 121956680 170739352 213424190 243913360 341478704 426848380 487826720 682957408 853696760 1707393520 3414787040