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3413892480 = 27351778069
BaseRepresentation
bin1100101101111011…
…1101110110000000
322210220211201002020
43023132331312000
523442424024410
61322431321440
7150412415205
oct31336756600
98726751066
103413892480
1114a2064a49
127b3380280
1342537b32b
14245585cac
1514ea9da70
hexcb7bdd80

3413892480 has 64 divisors (see below), whose sum is σ = 10881788400. Its totient is φ = 910370816.

The previous prime is 3413892463. The next prime is 3413892533. The reversal of 3413892480 is 842983143.

It is a tau number, because it is divible by the number of its divisors (64).

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, 887115 + ... + 890954.

Almost surely, 23413892480 is an apocalyptic number.

3413892480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413892480 is an abundant number, since it is smaller than the sum of its proper divisors (7467895920).

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

3413892480 is a wasteful number, since it uses less digits than its factorization.

3413892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778091 (or 1778079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3413892480 is about 58428.5245406728. The cubic root of 3413892480 is about 1505.7398569018.

The spelling of 3413892480 in words is "three billion, four hundred thirteen million, eight hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1778069 3556138 5334207 7112276 8890345 10668414 14224552 17780690 21336828 26671035 28449104 35561380 42673656 53342070 56898208 71122760 85347312 106684140 113796416 142245520 170694624 213368280 227592832 284491040 341389248 426736560 568982080 682778496 853473120 1137964160 1706946240 3413892480