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3455980398 = 2331315731357
BaseRepresentation
bin1100110111111110…
…0001001101101110
322220212000222212000
43031333201031232
524034212333043
61330533353130
7151433230413
oct31577411556
98825028760
103455980398
1115138a1252
128054987a6
13430cc6320
1424adc010a
151536142d3
hexcdfe136e

3455980398 has 64 divisors (see below), whose sum is σ = 8323667520. Its totient is φ = 1056571776.

The previous prime is 3455980397. The next prime is 3455980417. The reversal of 3455980398 is 8930895543.

3455980398 is a `hidden beast` number, since 3 + 4 + 559 + 80 + 3 + 9 + 8 = 666.

It is a super-2 number, since 2×34559803982 = 23887601022720476808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455980393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94536 + ... + 125892.

It is an arithmetic number, because the mean of its divisors is an integer number (130057305).

Almost surely, 23455980398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455980398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161833760).

3455980398 is an abundant number, since it is smaller than the sum of its proper divisors (4867687122).

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

3455980398 is a wasteful number, since it uses less digits than its factorization.

3455980398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31538 (or 31532 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 3455980398 is about 58787.5871081643. The cubic root of 3455980398 is about 1511.9024014226.

The spelling of 3455980398 in words is "three billion, four hundred fifty-five million, nine hundred eighty thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 314 351 471 702 942 1413 2041 2826 4082 4239 6123 8478 12246 18369 31357 36738 55107 62714 94071 110214 188142 282213 407641 564426 815282 846639 1222923 1693278 2445846 3668769 4923049 7337538 9846098 11006307 14769147 22012614 29538294 44307441 63999637 88614882 127999274 132922323 191998911 265844646 383997822 575996733 1151993466 1727990199 3455980398