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361914642 = 2347928279
BaseRepresentation
bin10101100100100…
…110000100010010
3221020000011120000
4111210212010102
51220122232032
655525030430
711653136505
oct2544460422
9836004500
10361914642
11176322911
12a1255416
1359c9839b
14360cd13c
1521b8de7c
hex15926112

361914642 has 40 divisors (see below), whose sum is σ = 821251200. Its totient is φ = 119106936.

The previous prime is 361914601. The next prime is 361914643. The reversal of 361914642 is 246419163.

361914642 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 1 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361914597 and 361914606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361914643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1342 + ... + 26937.

It is an arithmetic number, because the mean of its divisors is an integer number (20531280).

Almost surely, 2361914642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361914642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410625600).

361914642 is an abundant number, since it is smaller than the sum of its proper divisors (459336558).

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

361914642 is a wasteful number, since it uses less digits than its factorization.

361914642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28372 (or 28363 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 361914642 is about 19024.0542997543. The cubic root of 361914642 is about 712.6375756501.

The spelling of 361914642 in words is "three hundred sixty-one million, nine hundred fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 12798 28279 56558 84837 169674 254511 509022 763533 1527066 2234041 2290599 4468082 4581198 6702123 13404246 20106369 40212738 60319107 120638214 180957321 361914642