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3463680040 = 235476130203
BaseRepresentation
bin1100111001110011…
…1001000000101000
322221101112011202221
43032130321000220
524043200230130
61331410403424
7151555536352
oct31634710050
98841464687
103463680040
111518180097
12807b90574
13432790b22
1424c0260d2
1515413587a
hexce739028

3463680040 has 64 divisors (see below), whose sum is σ = 8089839360. Its totient is φ = 1333720320.

The previous prime is 3463680023. The next prime is 3463680043. The reversal of 3463680040 is 400863643.

It is a junction number, because it is equal to n+sod(n) for n = 3463679978 and 3463680005.

It is not an unprimeable number, because it can be changed into a prime (3463680043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99579 + ... + 129781.

It is an arithmetic number, because the mean of its divisors is an integer number (126403740).

Almost surely, 23463680040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044919680).

3463680040 is an abundant number, since it is smaller than the sum of its proper divisors (4626159320).

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

3463680040 is a wasteful number, since it uses less digits than its factorization.

3463680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30322 (or 30318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3463680040 is about 58853.0376446280. The cubic root of 3463680040 is about 1513.0243669653.

The spelling of 3463680040 in words is "three billion, four hundred sixty-three million, six hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1880 2440 2867 5734 11468 14335 22936 28670 30203 57340 60406 114680 120812 151015 241624 302030 604060 1208120 1419541 1842383 2839082 3684766 5678164 7097705 7369532 9211915 11356328 14195410 14739064 18423830 28390820 36847660 56781640 73695320 86592001 173184002 346368004 432960005 692736008 865920010 1731840020 3463680040