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434650640 = 24559711297
BaseRepresentation
bin11001111010000…
…011111000010000
31010021212112120212
4121322003320100
51342232310030
6111044023252
713525320014
oct3172037020
91107775525
10434650640
11203392506
12101691b28
136c084338
1441a24544
152825a595
hex19e83e10

434650640 has 80 divisors (see below), whose sum is σ = 1042968960. Its totient is φ = 168376320.

The previous prime is 434650633. The next prime is 434650649. The reversal of 434650640 is 46056434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 434650597 and 434650606.

It is not an unprimeable number, because it can be changed into a prime (434650649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334472 + ... + 335768.

It is an arithmetic number, because the mean of its divisors is an integer number (13037112).

Almost surely, 2434650640 is an apocalyptic number.

434650640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521484480).

434650640 is an abundant number, since it is smaller than the sum of its proper divisors (608318320).

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

434650640 is a wasteful number, since it uses less digits than its factorization.

434650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 434650640 is about 20848.2766673891. The cubic root of 434650640 is about 757.4955882790.

The spelling of 434650640 in words is "four hundred thirty-four million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 71 80 118 142 236 284 295 355 472 568 590 710 944 1136 1180 1297 1420 2360 2594 2840 4189 4720 5188 5680 6485 8378 10376 12970 16756 20752 20945 25940 33512 41890 51880 67024 76523 83780 92087 103760 153046 167560 184174 306092 335120 368348 382615 460435 612184 736696 765230 920870 1224368 1473392 1530460 1841740 3060920 3683480 5433133 6121840 7366960 10866266 21732532 27165665 43465064 54331330 86930128 108662660 217325320 434650640