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7340101840 = 245293163837
BaseRepresentation
bin1101101011000000…
…10001000011010000
3200221112200210210201
412311200101003100
5110013031224330
63212203504544
7346615556551
oct66540210320
920845623721
107340101840
113127329175
12150a228154
138cc904a36
144d8bac328
152ce5e9eca
hex1b58110d0

7340101840 has 40 divisors (see below), whose sum is σ = 17654216040. Its totient is φ = 2834797056.

The previous prime is 7340101829. The next prime is 7340101859. The reversal of 7340101840 is 481010437.

It can be written as a sum of positive squares in 4 ways, for example, as 595750464 + 6744351376 = 24408^2 + 82124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 7340101799 and 7340101808.

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, 1579599 + ... + 1584238.

It is an arithmetic number, because the mean of its divisors is an integer number (441355401).

Almost surely, 27340101840 is an apocalyptic number.

It is an amenable number.

7340101840 is an abundant number, since it is smaller than the sum of its proper divisors (10314114200).

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

7340101840 is a wasteful number, since it uses less digits than its factorization.

7340101840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163879 (or 3163873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7340101840 is about 85674.3943077510. The cubic root of 7340101840 is about 1943.4231058159.

The spelling of 7340101840 in words is "seven billion, three hundred forty million, one hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3163837 6327674 12655348 15819185 25310696 31638370 50621392 63276740 91751273 126553480 183502546 253106960 367005092 458756365 734010184 917512730 1468020368 1835025460 3670050920 7340101840